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Finding the Fourth Proportional to 12,840.81, 17,720.42 and 7,251.81

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Solution

The fourth proportional to 12,840.81, 17,720.42 and 7,251.81 is: 10,007.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.81 : 17,720.42 = 7,251.81 : x
  2. Step 2: Convert to fraction form
    12,840.81/17,720.42 = 7,251.81/x
  3. Step 3: Cross multiply
    12,840.81x = 17,720.42 × 7,251.81
  4. Step 4: Simplify right side
    12,840.81x = 128,505,082.70
  5. Step 5: Solve for x
    x = 128,505,082.70/12,840.81
  6. Step 6: Final answer
    x = 10,007.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.